{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "6e443e1b",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.67672126 0.45219671 0.43631461 0.97045781 0.35506993 0.30704898\n",
      " 0.49901488 0.52185142 0.4822045  0.29762669 0.43212162 0.54544385\n",
      " 0.85736126 1.159628   0.28708109 1.0949803  0.7601045  0.845147\n",
      " 1.10527717 0.70543357 1.04622152 1.03780343 0.58451418 0.61106168\n",
      " 0.66785382 0.72747793 1.43281325 0.59699661 1.05273927 0.90146981\n",
      " 0.88797135 1.50921467 1.33808697 1.37393374 1.46724793 1.25273644\n",
      " 0.97294243 1.35380683 1.57542164 1.19364496 1.44411956 1.4958432\n",
      " 1.67753606 1.09995897 0.91195137 1.39797053 1.90937478 1.12568882\n",
      " 1.00481679 1.09247015]\n",
      "[1.         1.02040816 1.04081633 1.06122449 1.08163265 1.10204082\n",
      " 1.12244898 1.14285714 1.16326531 1.18367347 1.20408163 1.2244898\n",
      " 1.24489796 1.26530612 1.28571429 1.30612245 1.32653061 1.34693878\n",
      " 1.36734694 1.3877551  1.40816327 1.42857143 1.44897959 1.46938776\n",
      " 1.48979592 1.51020408 1.53061224 1.55102041 1.57142857 1.59183673\n",
      " 1.6122449  1.63265306 1.65306122 1.67346939 1.69387755 1.71428571\n",
      " 1.73469388 1.75510204 1.7755102  1.79591837 1.81632653 1.83673469\n",
      " 1.85714286 1.87755102 1.89795918 1.91836735 1.93877551 1.95918367\n",
      " 1.97959184 2.        ]\n",
      "斜率 (Slope): [1.00613094 0.        ]\n",
      "截距 (Intercept): -0.5585009312908611\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1673c4a00>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "from sklearn.linear_model import LinearRegression\n",
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "plt.style.use([\"classic\"])\n",
    "\n",
    "\n",
    "num = 50\n",
    "# 样本数据\n",
    "x1 = np.linspace(1,2,num)\n",
    "x2 = np.linspace(-1,-1,num)\n",
    "y = x1 + x2 + np.random.random(num)\n",
    "print(y)\n",
    "# 将x1和x2堆叠成一个特征矩阵\n",
    "X = np.column_stack((x1, x2))\n",
    "print(x1)\n",
    "# 创建线性回归模型\n",
    "model = LinearRegression()\n",
    "\n",
    "# 拟合模型\n",
    "model.fit(X, y)\n",
    "\n",
    "# 获取斜率和截距\n",
    "slope = model.coef_\n",
    "intercept = model.intercept_\n",
    "\n",
    "# 输出回归结果\n",
    "print(\"斜率 (Slope):\", slope)\n",
    "print(\"截距 (Intercept):\", intercept)\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "# 绘制回归线\n",
    "# x = np.linspace(0, 6, 100)\n",
    "y_predicted = intercept + slope[0] * x1 + slope[1] * x2\n",
    "\n",
    "# 可视化\n",
    "# fig = plt.figure(figsize=(12,12))\n",
    "ax1 = plt.axes(projection='3d')\n",
    "ax1.scatter3D(x1,x2,y, label=\"true\", color = \"b\")  #绘制散点图\n",
    "ax1.plot3D(x1,x2,y_predicted,label=\"pred\", color = \"red\")    #绘制空间曲线\n",
    "# ax1.set_xticklabels()\n",
    "ax1.set_xlabel(\"x1\", labelpad=10)\n",
    "ax1.set_ylabel(\"x2\", labelpad=10)\n",
    "ax1.set_zlabel(\"y\", labelpad=10)\n",
    "plt.legend()\n",
    "# plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "45ed0b43",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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